Answer:
3 yards of fabric
Step-by-step explanation:
In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.
10 - (2
+ 4
) = x
10 - 6
= x
3 = x
Finally, we can see that Rebecca needs a total of 3 yards of fabric to finish her quilt.
Answer:
Explanation:
The th term of an arithmetic sequence is explicitly defined as
where
is the first term of the sequence and
is the the common difference.
From the given first five terms of the sequence we can see that the first term is so
.
The common difference, , can be calculated by
so we'll find the common difference of the given sequence by letting
.
Now let's plug everything we know.
Rachel and her sister Fran together can paint the living room in hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint th part of the living room in 1 hour
By proportions,
⇒+
=
{using operation proportions and addition}
⇒=
⇒x=
⇒ together they can paint th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in hours
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